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Finding the Fourth Proportional to 4,596.91, 6,892.38 and 1,966.13

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Solution

The fourth proportional to 4,596.91, 6,892.38 and 1,966.13 is: 2,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.91 : 6,892.38 = 1,966.13 : x
  2. Step 2: Convert to fraction form
    4,596.91/6,892.38 = 1,966.13/x
  3. Step 3: Cross multiply
    4,596.91x = 6,892.38 × 1,966.13
  4. Step 4: Simplify right side
    4,596.91x = 13,551,315.09
  5. Step 5: Solve for x
    x = 13,551,315.09/4,596.91
  6. Step 6: Final answer
    x = 2,947.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.